I think the Pour House makes a pretty good burger, especially the Gabby burger. It is at the corner of Hillsborough and Oberlin and has the added benefit of being in the same block as LocoPops for dessert.

Raleigh proper, or outlying communities as well? How far do you want suggestions? The Chapel Hill crowd talks up this subject all the time. I'm pretty sure there have been active threads on this debate within the last 8 months if you do a search. Here's one thread for you: http://chowhound.chow.com/topics/484793

Off the top of my head, here are some of the places close to Raleigh that usually get mentioned (by no means comprehensive and not representing my personal opinions):

As far as the Angus Barn is concerned, their claim to fame is a hunk of beef that is truly obscene. I think it is well over a pound. As the waitress brings it out, people turn and stare, then start pointing and nudging their neighbors. I got it in the upstairs Turkey Lounge, which has the full menu available and much quicker seating. You can get a kid's version, which is down to merely "oversized". Honestly, one burger can fill up two adults. The beef is a quality cut, but I felt it didn't have any special flavor that made it stand out beyond the size.

I would second the RTB suggestion, with the caveat that I haven't been there in ages (moved to Chapel Hill) and that in general I thought the food there was much better when Ashley Christensen was more involved.